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olganol [36]
3 years ago
5

What is -2xm = 1, for x

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
4 0

Answer:

x = 1/2m

Step-by-step explanation:

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Find the savings plan balance after 2 years with an APR of 4% and monthly payments of $250. The balance is $ (Do not round until
alexdok [17]

Answer:

$6,506.51

Step-by-step explanation:

Recall that increasing an amount C in x% is equivalent to multiply it by (1+x/100)

As we have 4% APR, the monthly interest would be (4/12)% = 0.04/12

<u>Month 0</u> (first payment)

$250

Month 1

250 + 250 \frac{0.04}{12}= 250(\frac{12.04}{12})

<u>Month 2</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2)

<u>Month 3</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3)

<u>Month 24 (2 years)</u>

250(1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24})

The sum  

1+\frac{12.04}{12}+(\frac{12.04}{12})^2+(\frac{12.04}{12})^3+...+(\frac{12.04}{12})^{24}

is the sum of the first 24 terms of a geometric sequence with common ratio \frac{12.04}{12} which is

\frac{1-(12.04/12)^{25}}{1-(12.04/12)}=26.02603071

so, after 2 years the saving balance is

250*26.02603071 = 6,506.50767= $6,506.51 rounded to the nearest cent.

6 0
3 years ago
Kayla and two of her friends form an investment club. Each contributes $250 to an account that earns 5% interest, compounded ann
vaieri [72.5K]
The multiplier of each account's value is 1.05³ = 1.157625.

The $750 in the club's account will grow to
  $750×1.157625 = 868.22
and each member will get 1/3 of that amount, $289.

The $250 in Sheri's individual account will grow to
  $250×1.157625 = $289.

Sheri, Kayla, and Kayla's two friends will all have the same amount as a result of their investments.
6 0
3 years ago
Read 2 more answers
Factor completely. If a polynomial is prime, state this<br> -9+18x²+21x
grin007 [14]
Factoring completely you get: 3(3x-1)(2x+3)
3 0
3 years ago
PLEASE HELP I DONT WANNA FAIL MY QUIZ!!!
Gwar [14]

Answer: 2.5 ft.

Step-by-step explanation: We know that the wall is 10ft and each poster is 1 1/4 ft, so subtract both posters from the wall, 10-2.5 = 7.5, then divide 7.5 by 3 since we need 3 lengths, and we get 2.5ft. So for x, it would be 2.5ft.

x=2.5

Hope this helps!

3 0
3 years ago
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Which of the following is equal to the fraction below?
Vesna [10]

In mathematics there is a rule of exponents where we can "distribute" the powers/exponents in the numerator and denominator of any expression. Therefore, given an expression as (\frac{a}{b})^n, the exponent n can be "distributed" as: (\frac{a}{b})^n= \frac{a^n}{b^n}.

In our case, the power, n=11; a=7 and b=4. Thus, the expression (\frac{7}{4})^{11}, can be written as \frac{7^{11}}{4^{11}}.

Thus, out of the given options, option A is the correct option.

6 0
3 years ago
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